Answer:
x=11
Step-by-step explanation:
(4x)+(3x+13)=90
if you look at the beam, it includes a 90 degree angle.
7x+13=90
distributive property
7x=77
subtracted both sides by 13
x=11
divided both sides by 7 to isolate x
4(11) 3(11)+13
44 33+13
36
4(x) is the larger angle
The LinReg line of best fit for this data set is ŷ = -1.24X + 0.66
<h3>What is regression line?</h3>
A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
Given:
(−5, 6.3),
(−4, 5.6),
(−3, 4.8),
(−2, 3.1),
(−1, 2.5),
(0, 1.0),
(1, −1.4)
Sum of X = -14
Sum of Y = 21.9
Mean X = -2
Mean Y = 3.1286
Sum of squares (SSX) = 28
Sum of products (SP) = -34.6
Regression Equation,
ŷ = bX + a
b = SP/SSX = -34.6/28 = -1.23571
a = MY - bMX = 3.13 - (-1.24*-2) = 0.65714
ŷ = -1.23571X + 0.65714
ŷ = -1.24X + 0.66
Learn more about regression line here:
brainly.com/question/7656407
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Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
<h2>Question:</h2><h3>WHAT IS THE NAME YOU OF A SOLID THAT HAS TWO PARRALLEL POLYGON BASES AND ALL OTHER FACES THAT ARE RECTANGLES 2 SEE ANSWERS?</h3>
Step-by-step explanation:
<h3>A prism is a three-dimensional figure with two</h3>
<h3> parallel, congruent bases. The bases, which are</h3>
<h3> also two of the faces, can be any polygon. The </h3>
<h3>other faces are rectangles. A prism is named </h3>
<h3>according to the shape of its bases.</h3>
To calculate the distance between two points we use this formula:
<h3>______________________</h3>
<h3>We organize the values:</h3>
- x₁ = -5
- x₂ = -3
- y₁ = 8
- y₂ = 0
______________________
We apply the values already obtained to the formula to get the distance:
<h2>Answer: </h2>
<h3><em><u>MissSpanish</u></em></h3>
